Answer:87.63
Step-by-step explanation:
Answer:
(x+4)
Step-by-step explanation:
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
one
Step-by-step explanation:
Answer:
236
Step-by-step explanation:
We assume the cost is a linear function of the number of lessons. That means the slope is the same everywhere.
Let (lessons, cost) = (x, y). We have (4, 84), (8, 160), (12, y3).
(y2 -y1)/(x2 -x1) = (y3 -y2)/(x3 -x2)
(160 -84)/(8 -4) = (y3 -160)/(12 -8)
76 = y3 -160
y3 = 160 +76 = 236
The cost will be $236 for 12 lessons.
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The cost function is ...
y = 19x +8 . . . . for x lessons
